More by Cem Yalçın Yıldırım

Abstract

In the preprint [3], Goldston, Pintz, and Yıldırım
established, among other things, \begin{equation}
\liminf_{n\to\infty}{p_{n+1}-p_n\over\log p_n}=0, \end{equation}
with $p_n$ the $n$th prime. In the present article, which
is essentially self-contained, we shall develop a simplified
account of the method used in [3]. We include a short expository
last section.